real and complex number maths.pdf

In this Pdf we see about
What is real and complex numbers?
Real numbers are the union of both rational and irrational numbers. A complex number exists in the form a + i b

1. instructional
designing and
presentation skills
K.Alagumani
II B.Ed SplEdu
(VI) & Maths
21USDV004

2. Real and
Complex
Numbers

3. REAL NUMBERS
COMPLEX NUMBERS
ON THIS
LESSON,
YOU'LL
LEARN
ABOUT

4. Real number is a quantity that can be
expressed as an infinite decimal expansion. Real
numbers are used in measurements of
continuously varying quantities such as size
and time.
REAL NUMBERS

5. The Real
Number System
Natural
Numbers
Irrational
NumbersW
h
o
l
e
N u
m
b
e
r
s
I
n
tege
r
s
R
a
tion
a
l

6. Rational Numbers is in the form
where a and b are integers.
The Real
Number System
a
b
9
17
2.3
0

7. Irrational Numbers cannot be expressed
as a ratio of two integers.
The Real
Number System
π
-1.256...
7
√

8. Integers is the set of positive numbers,
negative numbers, and zero. It has no
decimal or fraction component.
The Real
Number System
12
-98
63

9. Whole numbers is the set of non-negative
integers.
The Real
Number System
56
100
0

10. Natural numbers are the counting
numbers greater than or equal to 1.
The Real
Number System
19
203
1

11. x+yi
i =-1
2
2
Complex number are numbers of the form x +
yi, in which x and y are real numbers and i is
the imaginary unit such that i = -1.
COMPLEX
NUMBERS

12. A real number multiplied to the imaginary unit i
results to an imaginary number.
Complex Numbers
2i
real number
imaginary
unit

13. Complex Numbers
x+yi
x and y are
real numbers
imaginary
number

14. Here are some examples of
complex numbers.
Complex
Numbers
-4i
5 + 3i
- + 2i
π